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4x-3/5x (nonpermissaible)

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1 Answer

Non-permissible value (the restriction on a variable) for expression
      4x – 3 
   —————  
         5x

is "0" , since when x = 0, the denominator will be equal to zero which is not permissible.

Comments

Note:

Even if you don't assume that some parentheses are missing, the result is still the same.

Either way:
(4x-3) / 5x     or     4x - (3/5x)
You wind up with 5x as a denominator and you can't divide by zero, so x=0 is not allowed.   :-)